Machin-like formulae

M000149

$$\pi=69852\arctan\left(\frac{1}{39356}\right)+54796\arctan\left(\frac{1}{51412}\right)+42796\arctan\left(\frac{2}{362619}\right)-6796\arctan\left(\frac{1}{187718}\right)+6796\arctan\left(\frac{1}{410038}\right)+59220\arctan\left(\frac{1}{734557}\right)-31880\arctan\left(\frac{1}{6826318}\right)+64696\arctan\left(\frac{1}{7626068}\right)+732\arctan\left(\frac{1}{21072618}\right)+47268\arctan\left(\frac{1}{2539791558}\right)$$
Compact formula69852[39356] + 54796[51412] + 42796[362619/2] - 6796[187718] + 6796[410038] + 59220[734557] - 31880[6826318] + 64696[7626068] + 732[21072618] + 47268[2539791558]
Lehmer's measure1.69282
References
MRW (08Nov03) (full reference coming soon)
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